Sentence examples for sharp energy from inspiring English sources

We consider the problem of sharp energy decay rates for nonlinearly damped abstract infinite-dimensional systems.

We give different sharp energy estimates depending on the choice of parameters.

Then we can obtain the sharp energy criteria of blow-up and global existence for equation (1.1) in the (H^{1} -sub-critical case.

Then, by constructing the invariant sets generated by the evolutional system, we can obtain the sharp energy criteria of blow-up and global existence for equation (1.1).

At first, we prove Theorem 1.1, which gives the sharp energy criteria of blow-up and global existence for equation (1.1) in the (H^{1} -energy-critical case.

In this paper, we study the sharp energy criteria of blow-up and global existence for the nonlinear Klein-Gordon equation by the sharp Gagliardo-Nirebergy-Sobolev inequality.

He did not identify those senators, but the list of undecided includes many from coal and manufacturing states and from the South and Southeast, which will face the sharpest energy price increases from any carbon emissions control program.

But as L.C.D. technology became sharper, more energy-efficient and cheaper, the screens grew while the cameras — and their viewfinders — shrank, Mr. Heiner said.

The reason for the sharp discrepancies in energy use will not be fully identified until the buildings undergo required energy audits, starting next year, but the benchmarking data reveals some patterns.

The domestic oil-and-gas boom has created a sharp demand for energy investments, and Riverstone, one of the country's leading private equity firms focused on energy and power, has posted some of the sector's strongest returns.

That would require a sharp reduction in energy growth.